Metamath Proof Explorer


Definition df-ol

Description: Define the class of ortholattices. Definition from Kalmbach p. 16. (Contributed by NM, 18-Sep-2011)

Ref Expression
Assertion df-ol OL = ( Lat ∩ OP )

Detailed syntax breakdown

Step Hyp Ref Expression
0 col OL
1 clat Lat
2 cops OP
3 1 2 cin ( Lat ∩ OP )
4 0 3 wceq OL = ( Lat ∩ OP )